Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47501	Simplify	(3/(x+5))/(2/(x-3)+1/(x+5))	$\frac{\frac{3}{x + 5}}{\frac{2}{x - 3} + \frac{1}{x + 5}}$
47502	Evaluate	((5 square root of 3)/2)^2	${(\frac{5 \sqrt{3}}{2})}^{2}$
47503	Convert to Radical Form	(81/16)^(-1/4)	${(\frac{81}{16})}^{- \frac{1}{4}}$
47504	Solve the Inequality for x	(5x+1)/(x-4)<=0	$\frac{5 x + 1}{x - 4} \leq 0$
47505	Solve for x	3^(x+1)=3^(x-7)	$3^{x + 1} = 3^{x - 7}$
47506	Graph	x=-4 y=1	$x = - 4$ $y = 1$
47507	Find the LCD	(7x)/(x-7) and (5x)/(x-1)	$\frac{7 x}{x - 7}$ and $\frac{5 x}{x - 1}$
47508	Solve for x	x+5/(x+6)=(6x-1)/(x+6)	$x + \frac{5}{x + 6} = \frac{6 x - 1}{x + 6}$
47509	Solve the Inequality for x	x^2<=5x-6	$x^{2} \leq 5 x - 6$
47510	Evaluate	(3^2)(3)(3)	$(3^{2}) (3) (3)$
47511	Solve by Substitution	x-y=11 and 2x+y=19	$x - y = 11$ and $2 x + y = 19$
47512	Solve for x	-x-15-3x=x	$- x - 15 - 3 x = x$
47513	Find the Domain and Range	x^4+4x^2+4	$x^{4} + 4 x^{2} + 4$
47514	Evaluate	(x^-4)/(x^8*x^-1)	$\frac{x^{- 4}}{x^{8} \cdot x^{- 1}}$
47515	Simplify the Radical Expression	(5n^2-5n)/(n^2-5n-6)	$\frac{5 n^{2} - 5 n}{n^{2} - 5 n - 6}$
47516	Simplify	10x^2*7xy^2	$10 x^{2} \cdot 7 x y^{2}$
47517	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 12 x + 4$ is divided by $3 x + 2$
47518	Solve for x	(2x)^-2=16	${(2 x)}^{- 2} = 16$
47519	Solve the Rational Equation for x	square root of x^2-2- square root of x+4=0	$\sqrt{x^{2} - 2} - \sqrt{x + 4} = 0$
47520	Factor	Factor 3h^2+11h+6	Factor $3 h^{2} + 11 h + 6$
47521	Solve the System of Equations	x+y+z=2 6x-4y+5z=31 5x+2y+2z=13	$x + y + z = 2$ $6 x - 4 y + 5 z = 31$ $5 x + 2 y + 2 z = 13$
47522	Solve for x	-1/3(3x-9)+12=2(x-3)	$- \frac{1}{3} (3 x - 9) + 12 = 2 (x - 3)$
47523	Simplify/Condense	4* log base 7 of a+(5* log base 7 of a-3* log base 7 of b)	$4 \cdot \log_{7} (a) + (5 \cdot \log_{7} (a) - 3 \cdot \log_{7} (b))$
47524	Divide	(12x^6y^3)/(6x^3y^3)	$\frac{12 x^{6} y^{3}}{6 x^{3} y^{3}}$
47525	Simplify	(6-4x+x^2)^2	${(6 - 4 x + x^{2})}^{2}$
47526	Simplify	(20(mn)^-3)/(-5m^2n^2)	$\frac{20 {(m n)}^{- 3}}{- 5 m^{2} n^{2}}$
47527	Simplify	(x-1)(2x)	$(x - 1) (2 x)$
47528	Simplify the Radical Expression	square root of 15/20	$\sqrt{\frac{15}{20}}$
47529	Integrate Using Partial Fractions	integral of (2x^2+3)/(x^3-2x^2+x) with respect to x	$\int \frac{2 x^{2} + 3}{x^{3} - 2 x^{2} + x} d x$
47530	Solve for x	cube root of x-3=0	$\sqrt[3]{x - 3} = 0$
47531	Simplify	(x^2+2x+3)+(3x^2+x+1)	$(x^{2} + 2 x + 3) + (3 x^{2} + x + 1)$
47532	Solve for x	50=15-6(2x-5)	$50 = 15 - 6 (2 x - 5)$
47533	Evaluate	(45^45*15^15)/(75^30)	$\frac{45^{45} \cdot 15^{15}}{75^{30}}$
47534	Find the Derivative - d/dx	y=(-x^3*cos(x^3))/3	$y = \frac{- x^{3} \cdot \cos (x^{3})}{3}$
47535	Factor	y=x^3-8	$y = x^{3} - 8$
47536	Simplify	2(x-3y+8)+7+4x	$2 (x - 3 y + 8) + 7 + 4 x$
47537	Solve by Factoring	e^2-10e+25=0	$e^{2} - 10 e + 25 = 0$
47538	Multiply	3(5x+2)-4(2x-1)	$3 (5 x + 2) - 4 (2 x - 1)$
47539	Add	1/4+3/4+3/4+3/4+1	$\frac{1}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + 1$
47540	Find the Asymptotes	f(x)=csc(1/2x-pi/4)	$f (x) = \csc (\frac{1}{2} x - \frac{π}{4})$
47541	Find the Exact Value	sin(pi/6)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{6}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
47542	Find the Product	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
47543	Simplify	(3x-6)/(x^2-4)-2/(x-2)	$\frac{3 x - 6}{x^{2} - 4} - \frac{2}{(x - 2)}$
47544	Solve for z	3+ square root of z-12=- square root of z+3	$3 + \sqrt{z - 12} = - \sqrt{z + 3}$
47545	Graph	y>3x-2 2y-x<=10	$y > 3 x - 2$ $2 y - x \leq 10$
47546	Solve for x	1-3/x=6/(x^2+2x)	$1 - \frac{3}{x} = \frac{6}{x^{2} + 2 x}$
47547	Solve the System of Inequalities	y>=-1/3x+8 y<5/3x-4	$y \geq - \frac{1}{3} x + 8$ $y < \frac{5}{3} x - 4$
47548	Simplify the Matrix	square root of 8 , square root of 200	$\sqrt{8}$ , $\sqrt{200}$
47549	Verify the Identity	cos(theta)csc(theta)tan(theta)=1	$\cos (θ) \cdot \csc (θ) \cdot \tan (θ) = 1$
47550	Find the Derivative - d/dx	(e^(2x))	$(e^{2 x})$
47551	Find the Derivative - d/dx	(sin(-8x))	$(\sin (- 8 x))$
47552	Evaluate	1/2(5)^2pi/4	$\frac{1}{2} {(5)}^{2} \frac{π}{4}$
47553	Solve for x	3x=21/4	$3 x = \frac{21}{4}$
47554	Simplify	4/(5x)-(2x)/5	$\frac{4}{5 x} - \frac{2 x}{5}$
47555	Simplify	(3/4x-27)-(7x-35)	$(\frac{3}{4} x - 27) - (7 x - 35)$
47556	Multiply	2pi*1/2	$2 π \cdot \frac{1}{2}$
47557	Find the Product	(2x-y)(x+5y)	$(2 x - y) (x + 5 y)$
47558	Find the Domain	f(x)=(x-1)/(3 square root of 10-2x)	$f (x) = \frac{x - 1}{3 \sqrt{10 - 2 x}}$
47559	Solve the System of Equations	y=(x+4)^2-1 and y=-3x-13	$y = {(x + 4)}^{2} - 1$ and $y = - 3 x - 13$
47560	Solve for q	q+r+s=p	$q + r + s = p$
47561	Graph Using a Table of Values	g(x)=3/4*2^x	$g (x) = \frac{3}{4} \cdot 2^{x}$
47562	Find the x and y Intercepts	f(x)=(x^2+4)(x^2-3)(x-8)^2	$f (x) = (x^{2} + 4) (x^{2} - 3) {(x - 8)}^{2}$
47563	Find the Asymptotes	f(x)=(x^2-3x+2)/(2x^3-8x)	$f (x) = \frac{x^{2} - 3 x + 2}{2 x^{3} - 8 x}$
47564	Solve for x	1/3(x-15)+2x=16	$\frac{1}{3} (x - 15) + 2 x = 16$
47565	Solve the System of Equations	y=3x+5 y=4x^2+x	$y = 3 x + 5$ $y = 4 x^{2} + x$
47566	Evaluate	((x^2+2xy+y^2)(x^2-2xy+y^2))/(2(x+y))=0	$\frac{(x^{2} + 2 x y + y^{2}) (x^{2} - 2 x y + y^{2})}{2 (x + y)} = 0$
47567	Graph	y=\|x\| and y=\|x-5\|	$y = \| x \|$ and $y = \| x - 5 \|$
47568	Solve for x in Degrees	2(1-cos(x)^2)=3/2	$2 (1 - \cos^{2} (x)) = \frac{3}{2}$
47569	Graph	(-2 square root of 3,2)	$(- 2 \sqrt{3}, 2)$
47570	Solve the Inequality for x	square root of 2x-6<=6	$\sqrt{2 x - 6} \leq 6$
47571	Find the GCF	60 , 120 , 105	$60$ , $120$ , $105$
47572	Divide	(-2x^3-3x^2-4x+12)/(4x)	$\frac{- 2 x^{3} - 3 x^{2} - 4 x + 12}{4 x}$
47573	Solve for x	80=2(x+5)^2	$80 = 2 {(x + 5)}^{2}$
47574	Factor	4x^2+2x+1/4	$4 x^{2} + 2 x + \frac{1}{4}$
47575	Write the Fraction in Simplest Form	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
47576	Evaluate	2x(x-4)	$2 x (x - 4)$
47577	Factor by Grouping	3x^5-75x^3	$3 x^{5} - 75 x^{3}$
47578	Graph	8+\|4v-7\|>=17	$8 + \| 4 v - 7 \| \geq 17$
47579	Find Amplitude, Period, and Phase Shift	y=2sin((3x)/2-1)	$y = 2 \sin (\frac{3 x}{2} - 1)$
47580	Find the Slope	(-7,-2) and (7,8)	$(- 7, - 2)$ and $(7, 8)$
47581	Simplify	-(16x^5)/(8x)	$- \frac{16 x^{5}}{8 x}$
47582	Graph	y=(x-2)^-2	$y = {(x - 2)}^{- 2}$
47583	Find the Inverse	y=-2 square root of x	$y = - 2 \sqrt{x}$
47584	Solve for x	(x+3)^(2/5)-7(x+3)^(1/5)+12=0	${(x + 3)}^{\frac{2}{5}} - 7 {(x + 3)}^{\frac{1}{5}} + 12 = 0$
47585	Solve by Graphing	y=1/3x+2 -x+3y=6	$y = \frac{1}{3} x + 2$ $- x + 3 y = 6$
47586	Simplify	1/(( square root of 6)/3)	$\frac{1}{\frac{\sqrt{6}}{3}}$
47587	Find the Roots (Zeros)	square root of x+8=x+6	$\sqrt{x + 8} = x + 6$
47588	Find the Domain	(1/y+2/(x-y))*(x-(x^2+y^2)/(x+y))	$(\frac{1}{y} + \frac{2}{x - y}) \cdot (x - \frac{x^{2} + y^{2}}{x + y})$
47589	Simplify	(rcos(theta)-2)^2	${(r \cos (θ) - 2)}^{2}$
47590	Simplify	-3/7*8	$- \frac{3}{7} \cdot 8$
47591	Subtract	(-2x^3+x)-(7x-3-7x^3)	$(- 2 x^{3} + x) - (7 x - 3 - 7 x^{3})$
47592	Simplify	(27x)^(2/3)(1024x)^(1/5)	${(27 x)}^{\frac{2}{3}} {(1024 x)}^{\frac{1}{5}}$
47593	Simplify	3/(4/(6/7))	$\frac{3}{\frac{4}{\frac{6}{7}}}$
47594	Evaluate the Integral	integral of 6/(5 cube root of x) with respect to x	$\int \frac{6}{5 \sqrt[3]{x}} d x$
47595	Evaluate	1/4x+1+3/4x-2/3-1/2x	$\frac{1}{4} x + 1 + \frac{3}{4} x - \frac{2}{3} - \frac{1}{2} x$
47596	Evaluate	5/a+1/2=6/a	$\frac{5}{a} + \frac{1}{2} = \frac{6}{a}$
47597	Add	5/(x^2(x-2))+x/(x-2)	$\frac{5}{x^{2} (x - 2)} + \frac{x}{x - 2}$
47598	Solve for x	c(x+q)=5n	$c (x + q) = 5 n$
47599	Find the Excluded Values	1/(x-2)-5/(x+7)=9/(x^2+5x-14)	$\frac{1}{x - 2} - \frac{5}{x + 7} = \frac{9}{x^{2} + 5 x - 14}$
47600	Solve for v	-1+ square root of v-11=6	$- 1 + \sqrt{v - 11} = 6$